From 442d732696ad431b84f6e5c72b6ee785be4fd968 Mon Sep 17 00:00:00 2001
From: adelon <22380201+adelon@users.noreply.github.com>
Date: Sat, 10 Feb 2024 02:22:14 +0100
Subject: Initial commit

---
 test/examples/no-reflexive-set.tex | 11 +++++++++++
 1 file changed, 11 insertions(+)
 create mode 100644 test/examples/no-reflexive-set.tex

(limited to 'test/examples/no-reflexive-set.tex')

diff --git a/test/examples/no-reflexive-set.tex b/test/examples/no-reflexive-set.tex
new file mode 100644
index 0000000..78bd07c
--- /dev/null
+++ b/test/examples/no-reflexive-set.tex
@@ -0,0 +1,11 @@
+\begin{proposition}\label{in_irrefl}
+    For all sets $A$ we have $A\not\in A$.
+\end{proposition}
+\begin{proof}[Proof by \in-induction]
+    %Let $B$ be a set.
+    %Suppose $b\notin b$ for all $b\in B$.
+    %Suppose $B\in B$.
+    %But then
+    %    $B\notin B$.
+    Straightforward.
+\end{proof}
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